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Maksim231197 [3]
2 years ago
15

I need help for my exams... what are prime factors? ​

Mathematics
2 answers:
nydimaria [60]2 years ago
6 0

Answer:

any of the prime numbers that are multiplied to give the original number

Step-by-step explanation:

for example 2*3=6

2 and 3 are prime factors as they are both prime numbers and factors of 6

mash [69]2 years ago
3 0

Answer:

Prime Factors: A factor which is a prime number and not a composite number is a prime factor. For example, 2, 3 and 5 are the prime factors of 30.

Factors: The numbers which are multiplied to get another number. For example, 3 and 5 are the factors of 15, i.e. 3 × 5 = 15

The list of prime factors from 1 to 100 are;

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97

Step-by-step explanation:

Prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers. A prime number is a number which has only two factors, i.e. 1 and the number itself.

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An observer at the top of a tower of height 20m sees a man due East of him at an angle of depression of 27°. He sees another man
kotegsom [21]

Answer:

  • 52.35 m

Step-by-step explanation:

<em>Refer to picture.</em>

Let the distance to men are x and y and the distance between them is d.

The angle of depreciation is 27° and 30°, hence top angle of the triangle is 63° or 60°.

<u>Find the distance from the tower to men:</u>

  • x = 20 tan 63° = 39.25 m
  • y = 20 tan 60° = 34.64 m

<u>The distance between men is:</u>

  • d = \sqrt{x^2+y^2} =\sqrt{39.25^2+34.64^2} = 52.35m

<em>Note, all numbers are rounded</em>

8 0
3 years ago
What is the slope of the line that passes through the points (3, -20) and (11, 16)?
marissa [1.9K]

Answer:

9/2

Step-by-step explanation:

(3, -20) & (11, 16)

To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(16 - (-20)) / (11 - 3)

Simplify the parentheses.

= (36) / (8)

Simplify the fraction.

36/8

= 9/2

9/2 is the most simplified fraction. This is your slope.

Hope this helps!

3 0
3 years ago
Simplify the expression.<br><br> can anyone explain to me how to do this? please
WINSTONCH [101]

Answer:

The answer is the last one (32x^7y^15)

You can bring x to the second power (x^2) because (x) is basically x^1. This is a basic exponent rule. (x^m)^n = x^m times n.

Then you can apply this rule to (2xy^3)^5. First you bring two to the fifth power and get 32. Then you bring x^5 according to the rule. Then you bring y^15, also because of the rule.

Now you have:

x^2 times 32x^5y^15

Now you just multiply the like terms together (x^2 and x^5)

When you multiply two exponents with the same base, you add the exponents together: a^n times a^m = a^n+m.

So you end up with 32x^7y^15



5 0
3 years ago
Read 2 more answers
In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest<br> inch.
dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

m\angle G+m\angle H+m\angle I=180^\circ

30^\circ+29^\circ+m\angle I=180^\circ

59^\circ+m\angle I=180^\circ

m\angle I=180^\circ-59^\circ

m\angle I=121^\circ

According to Law of sines,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using Law of sines, we get

\dfrac{h}{\sin H}=\dfrac{i}{\sin I}

\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}

\dfrac{300}{0.4848}=\dfrac{i}{0.8572}

Multiply both sides by 0.8572.

\dfrac{300}{0.4848}\times 0.8572=i

530.44554=i

i\approx 530

Therefore, the length of i is about 530 inches.

6 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.​
tiny-mole [99]

Step-by-step explanation:

x= -7 y=0

x= -3 y =-6

y =mx+b

b=-7

-6= -3m -7

-3m = 1

m= -1/3

y= -x/3 -7

y =  -  \frac{x}{3}  - 7

8 0
3 years ago
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